Turbine nozzle having fillet, pinbank, throat region and profile

ABSTRACT

Various embodiments of the invention include turbine nozzles and systems employing such nozzles. Various particular embodiments include a turbine nozzle having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, pressure side, trailing edge and the leading edge, the airfoil having a fillet at the trailing edge proximate the at least one endwall.

FIELD OF THE INVENTION

The subject matter disclosed herein relates to turbomachines. More particularly, the subject matter disclosed herein relates to components within turbomachines such as gas and/or steam turbines.

BACKGROUND OF THE INVENTION

Some aircraft and/or power plant systems, for example certain jet aircraft, nuclear, simple cycle and combined cycle power plant systems, employ turbines (also referred to as turbomachines) in their design and operation. Some of these turbines employ airfoils (e.g., turbine blades, blades, airfoils, etc.) which during operation are exposed to fluid flows. These airfoils are configured to aerodynamically interact with the fluid flows and generate energy (e.g., creating thrust, turning kinetic energy to mechanical energy, thermal energy to mechanical energy, etc.) from these fluid flows as part of power generation. As a result of this interaction and conversion, the aerodynamic characteristics and losses of these airfoils have an impact on system and turbine operation, performance, thrust, efficiency, and power.

BRIEF DESCRIPTION OF THE INVENTION

Various embodiments of the invention include turbine nozzles and systems employing such nozzles. Various particular embodiments include a turbine nozzle having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, pressure side, trailing edge and the leading edge, the airfoil having a fillet at the trailing edge proximate the at least one endwall.

A first aspect of the invention includes a turbine nozzle having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, pressure side, trailing edge and the leading edge, the airfoil having a fillet at the trailing edge proximate the at least one endwall.

A second aspect of the invention includes a static nozzle section having: a set of static nozzles, the set of static nozzles including at least one nozzle having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, pressure side, trailing edge and the leading edge, the airfoil having a fillet at the trailing edge proximate the at least one endwall, wherein at least one of the suction side or the pressure side of the airfoil includes a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the coordinate values are non-dimensional values convertible to distances by multiplying the values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.

A third aspect of the invention includes a turbine nozzle comprising: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, pressure side, trailing edge and the leading edge, wherein at least one of the pressure side or the suction side of the airfoil includes a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the coordinate values are non-dimensional values convertible to distances by multiplying the values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.

BRIEF DESCRIPTION OF THE DRAWINGS

These and other features of this invention will be more readily understood from the following detailed description of the various aspects of the invention taken in conjunction with the accompanying drawings that depict various embodiments of the invention, in which:

FIG. 1 shows a three-dimensional partial cut-away perspective view of a portion of a turbine according to an embodiment of the disclosure.

FIG. 2 shows a schematic three-dimensional depiction of a turbine nozzle including an airfoil and endwalls according to various embodiments of the disclosure.

FIG. 3 shows a partial schematic view of the airfoil of FIG. 2 according to various embodiments of the disclosure.

FIG. 4 shows a schematic cut-away view of a plurality of turbine airfoils according to various embodiments of the disclosure.

FIG. 5 shows a partially transparent perspective view of a plurality of turbine airfoils according to various embodiments of the disclosure.

FIG. 6 shows a schematic three-dimensional depiction of a turbine nozzle according to various embodiments of the disclosure.

FIG. 7 shows a schematic block diagram illustrating portions of a multi-shaft combined cycle power plant system according to embodiments of the invention; and

FIG. 8 shows a schematic block diagram illustrating portions of a single-shaft combined cycle power plant system according to embodiments of the invention.

It is noted that the drawings of the invention are not necessarily to scale. The drawings are intended to depict only typical aspects of the invention, and therefore should not be considered as limiting the scope of the invention. It is understood that elements similarly numbered between the FIGURES may be substantially similar as described with reference to one another. Further, in embodiments shown and described with reference to FIGS. 1-6, like numbering may represent like elements. Redundant explanation of these elements has been omitted for clarity. Finally, it is understood that the components of FIGS. 1-6 and their accompanying descriptions may be applied to any embodiment described herein.

DETAILED DESCRIPTION OF THE INVENTION

As noted herein, various aspects of the invention are directed toward turbine nozzles. Particular aspects of the invention include turbine nozzles having an enhanced fillet, a throat distribution contour, and a pinbank.

In contrast to conventional turbine nozzles, aspects of the invention include a turbine nozzle (e.g., a static nozzle for directing a working fluid such as gas or steam) having a fillet (e.g., enhanced fillet) at the trailing edge of the nozzle proximate the endwall. This fillet can increase the axial chord (relative to conventional nozzles) from approximately fifteen percent from the endwall, and can help to reduce nozzle cracking at high temperatures and stresses when compared with conventional nozzles. In various embodiments, the turbine nozzle may also have a throat distribution which lowers downstream blade tip temperatures, relative to conventional nozzles. Additionally, the turbine nozzle may also include one or more pin banks for transferring heat from the nozzle, e.g., proximate the trailing edge.

As used herein, the terms “axial” and/or “axially” refer to the relative position/direction of objects along axis A, which is substantially parallel to the axis of rotation of the turbomachine (in particular, the rotor section). As further used herein, the terms “radial” and/or “radially” refer to the relative position/direction of objects along axis (r), which is substantially perpendicular with axis A and intersects axis A at only one location. Additionally, the terms “circumferential” and/or “circumferentially” refer to the relative position/direction of objects along a circumference which surrounds axis A but does not intersect the axis A at any location. Further, the terms leading edge/pressure side refer to components and/or surfaces which are oriented upstream relative to the fluid flow of the system, and the terms trailing edge/suction side refer to components and/or surfaces which are oriented downstream relative to the fluid flow of the system.

In the following description, reference is made to the accompanying drawings that form a part thereof, and in which is shown by way of illustration specific embodiments in which the present teachings may be practiced. These embodiments are described in sufficient detail to enable those skilled in the art to practice the present teachings and it is to be understood that other embodiments may be utilized and that changes may be made without departing from the scope of the present teachings. The following description is, therefore, merely exemplary.

Referring to the drawings, FIG. 1 shows a perspective partial cut-away illustration of a turbine 10 (e.g., a gas or steam turbine and/or an aviation jet engine) according to various embodiments of the invention. Turbine 10 includes a rotor 12 that includes a rotating shaft 14 and a plurality of axially spaced rotor wheels 18. A plurality of rotating buckets 20 are mechanically coupled to each rotor wheel 18. More specifically, buckets 20 are arranged in rows that extend circumferentially around each rotor wheel 18. A static nozzle section 21 is shown including a plurality of stationary nozzles 22 that circumferentially around shaft 14, and the nozzles 22 are axially positioned between adjacent rows of buckets 20. Stationary nozzles 22 cooperate with buckets 20 to form a stage of the turbine 10, and to define a portion of a flow path through turbine 10. As shown, the static nozzle section 21 at least partially surrounds the rotor 12 (shown in this cut-away view). It is understood that the turbine 10 shown is a dual-flow turbine 10 that includes an axially centered inlet mouth which feeds two sets of turbine stages. It is understood that various teachings can be applied to axial turbines, e.g., axial inlet gas turbines that inlet a combustion gas from a first axial end and outlet that combustion gas to a second axial end after the gas has performed mechanical work on the turbine.

Returning to FIG. 1, in operation, gas 24 enters an inlet 26 of turbine 10 and is channeled through stationary nozzles 22. Nozzles 22 direct gas 24 against blades 20. Gas 24 passes through the remaining stages imparting a force on buckets 20 causing shaft 14 to rotate. At least one end of turbine 10 may extend axially away from rotating shaft 12 and may be attached to a load or machinery (not shown) such as, but not limited to, a generator, and/or another turbine.

In one embodiment, turbine 10 may include five stages. The five stages are referred to as L0, L1, L2, L3 and L4. Stage L4 is the first stage and is the smallest (in a radial direction) of the five stages. Stage L3 is the second stage and is the next stage in an axial direction. Stage L2 is the third stage and is shown in the middle of the five stages. Stage L1 is the fourth and next-to-last stage. Stage L0 is the last stage and is the largest (in a radial direction). It is to be understood that five stages are shown as one example only, and each turbine may have more or less than five stages. Also, as will be described herein, the teachings of the invention do not require a multiple stage turbine. In another embodiment, turbine 10 may comprise an aircraft engine used to produce thrust.

Turning to FIG. 2, a schematic three-dimensional depiction of a turbine nozzle (or simply, nozzle) 200 is shown according to various embodiments. The nozzle 200 is a stationary nozzle which forms an annulus of stationary nozzles in a stage of a turbine (e.g., turbine 10). That is, during operation of a turbine (e.g., turbine 10), the nozzle 200 will remain stationary in order to direct the flow of working fluid (e.g., gas or steam) to one or more movable buckets (e.g., buckets 20), causing those movable buckets to initiate rotation of a rotor shaft (e.g., shaft 14). It is understood that nozzle 200 is configured to couple (mechanically couple via fasteners, welds, slot/grooves, etc.) with a plurality of similar or distinct nozzles (e.g., nozzles 200 or other nozzles) to form an annulus of nozzles in a stage of the turbine.

Returning to FIG. 2, the turbine nozzle 200 can include an airfoil 202 having a suction side 204, and a pressure side 206 (obstructed in this view) opposing the suction side 204. The nozzle 200 can also include a leading edge 208 spanning between the pressure side 206 and the suction side 204, and a trailing edge 210 opposing the leading edge 208 and spanning between the pressure side 206 and the suction side 204.

As shown, the nozzle 200 can also include at least one endwall 212 (two shown) connected with the airfoil 202. The nozzle 200 can be connected with the airfoil 202 along the suction side 204, pressure side 206, trailing edge 210 and the leading edge 208. In various embodiments, the nozzle includes a fillet 214 connecting the nozzle 210 and each endwall 212. The fillet 214 can include a weld or braze fillet, which may be formed via conventional MIG welding, TIG welding, brazing, etc.

As described herein, and in contrast to conventional turbine nozzles, the turbine nozzle 200 can include a fillet 218 at the trailing edge 210 proximate endwall 212. In various embodiments, nozzle 200 includes an enhanced fillet 218 at trailing edge 210 proximate both endwalls 212. In various embodiments, enhanced fillet 218 increases the axial chord locally from approximately fifteen (15) percent from endwalls 212, and in some cases includes a five (5) percent extension in axial chord at endwalls 212, relative to conventional nozzles. The partial schematic view of FIG. 3 demonstrates the difference between the trailing edge 210 in nozzle 200 (extended axially, along A axis, with axial length as LA, due to fillet 218) and a conventional trailing edge 210C, which has a shorter axial length. In various embodiments, fillet 218 helps to limit cracking of nozzle 200 at high temperatures and stresses.

With reference to FIG. 1, in various embodiments, the nozzle 200 can include a third stage nozzle (L2) or a fourth stage nozzle (L1). In particular embodiments, the nozzle 200 is a third stage nozzle (L2), and the improved flow profile across the airfoil 200 and endwall 212 interface allows that third stage nozzle (L2) to withstand the high-temperature gas entering the turbine 10 at that third stage. In various embodiments, the turbine 10 can include a set of nozzles 200 in only the third stage (L2) of the turbine 10, or in only the third stage (L2) and the fourth stage (L1) of the turbine 10.

Turning to FIG. 4, a partial cut-away schematic view of adjacent nozzles 200 is shown according to various embodiments. As shown, according to various embodiments, nozzle 200 can further define a throat region 220 which tapers (closes) from the leading edge 208 to the trailing edge 210 between adjacent airfoils 202. Throat is defined as the minimum distance from the tangency point PT of one airfoil's 202 trailing edge 210 to the adjacent airfoil's 202 suction side 204.

FIG. 5, which shows a partially transparent view of a section of adjacent nozzles 200, illustrates a set of pin banks 224 according to various embodiments. In various embodiments, pin banks 224 extend through a portion of trailing edge 210 of airfoil 202, and provide conduits for fluid flow in order to enhance cooling of airfoils 202. In particular, pin banks 224 can allow for effective cooling of airfoil 202 at trailing edge 210 given the increased heating caused by throat region 220 and enhanced fillet 218 when compared with conventional nozzles.

It is understood that in various embodiments, other apex locations and pitches are possible, and those values given herein are merely illustrative of several of the many possible embodiments in accordance with the disclosure.

With reference to FIG. 6 (and continuing reference to FIGS. 2-5), a plurality of points 270-278 along span S, including root 215 and tip 217, can correspond to Z coordinate values of chord lines, and a cross section of airfoil 202 at each point can be described by a respective set of X and Y coordinates. For example, 100 points can be listed for each cross section 270-278, though it should be apparent that more or fewer points can be used for each cross section, and more or fewer cross sections can be used, as may be desired and/or appropriate. The X, Y, and Z coordinate values in TABLE I have been expressed in normalized or non-dimensionalized form in values, but it should be apparent that any or all of the coordinate values could instead be expressed in distance units so long as the proportions are maintained. To convert an X, Y or Z value of TABLE I to a respective X, Y or Z coordinate value in units of distance, such as inches or meters, the non-dimensional X, Y or Z value given in TABLE I can be multiplied by an airfoil height of airfoil 202 in such units of distance. By connecting the X and Y values with smooth continuing arcs, each profile cross section at each distance Z can be fixed, and the airfoil profiles of the various surface locations between the distances Z can be determined by smoothly connecting adjacent profile sections to one another, thus forming the airfoil profile.

The values in TABLE I are generated and shown to four decimal places for determining the profile of at least one of a suction side or a pressure side of a nominal airfoil 202 at ambient, non-operating, or non-hot conditions, and do not take any coatings or fillets into account, though embodiments could account for other conditions, coatings, and/or fillets. To allow for typical manufacturing tolerances and/or coating thicknesses, ±values can be added to the values listed in TABLE I, particularly to the X and Y values therein. For example, a tolerance of about 10-20 percent of a thickness of the trailing edge in a direction normal to any surface location along the airfoil profile can define an airfoil profile envelope for a nozzle airfoil design at cold or room temperature. In other words, a distance of about 10-20 percent of a thickness of the trailing edge in a direction normal to any surface location along the airfoil profile can define a range of variation between measured points on an actual airfoil surface and ideal positions of those points, particularly at a cold or room temperature, as embodied by the invention. The nozzle airfoil design, as embodied by the invention, is robust to this range of variation without impairment of mechanical and aerodynamic functions. Likewise, the profile and/or design can be scaled up or down, such as geometrically, without impairment of operation, and such scaling can be facilitated by use of normalized coordinate values, i.e. multiplying the normalized values by a scaling factor, or a larger or smaller number of distance units than might have originally been used. For example, the values in TABLE I, particularly the X and Y values, could be multiplied by a scaling factor of 2, 0.5, or any other desired scaling factor. Alternatively, the values could be multiplied by a larger or smaller desired span. As referenced herein, the origin of the X, Y, Z coordinate system is the root of the leading edge (junction 232) of the airfoil 202.

It is understood that coordinate values shown in TABLE I account for dimensions at and proximate to endwall(s) 212, for example, regions including fillet 218. The coordinate lines intersecting fillet 218, proximate endwall(s) 212 may extend at least partially tangentially with respect to lines extending through airfoil 202 which are not proximate endwall(s) 212.

TABLE I Non-Dimensionalized (X Y Z/Span Height) N Location X Y Z 1 Suction-Side 0.0001 −0.0013 0.0000 2 Suction-Side 0.0017 −0.0110 −0.0003 3 Suction-Side 0.0051 −0.0202 −0.0010 4 Suction-Side 0.0098 −0.0287 −0.0019 5 Suction-Side 0.0156 −0.0366 −0.0030 6 Suction-Side 0.0222 −0.0438 −0.0043 7 Suction-Side 0.0293 −0.0504 −0.0057 8 Suction-Side 0.0369 −0.0564 −0.0072 9 Suction-Side 0.0449 −0.0619 −0.0087 10 Suction-Side 0.0532 −0.0670 −0.0103 11 Suction-Side 0.0617 −0.0716 −0.0119 12 Suction-Side 0.0704 −0.0758 −0.0136 13 Suction-Side 0.0793 −0.0796 −0.0153 14 Suction-Side 0.0884 −0.0830 −0.0171 15 Suction-Side 0.0975 −0.0860 −0.0189 16 Suction-Side 0.1068 −0.0886 −0.0207 17 Suction-Side 0.1162 −0.0909 −0.0225 18 Suction-Side 0.1257 −0.0928 −0.0243 19 Suction-Side 0.1352 −0.0943 −0.0262 20 Suction-Side 0.1448 −0.0955 −0.0280 21 Suction-Side 0.1544 −0.0963 −0.0299 22 Suction-Side 0.1640 −0.0967 −0.0317 23 Suction-Side 0.1737 −0.0968 −0.0336 24 Suction-Side 0.1833 −0.0964 −0.0355 25 Suction-Side 0.1929 −0.0957 −0.0373 26 Suction-Side 0.2025 −0.0947 −0.0392 27 Suction-Side 0.2121 −0.0932 −0.0410 28 Suction-Side 0.2216 −0.0915 −0.0429 29 Suction-Side 0.2310 −0.0893 −0.0447 30 Suction-Side 0.2403 −0.0868 −0.0465 31 Suction-Side 0.2495 −0.0840 −0.0483 32 Suction-Side 0.2587 −0.0808 −0.0500 33 Suction-Side 0.2677 −0.0773 −0.0518 34 Suction-Side 0.2766 −0.0735 −0.0535 35 Suction-Side 0.2853 −0.0694 −0.0552 36 Suction-Side 0.2940 −0.0650 −0.0569 37 Suction-Side 0.3025 −0.0604 −0.0585 38 Suction-Side 0.3108 −0.0555 −0.0601 39 Suction-Side 0.3190 −0.0504 −0.0617 40 Suction-Side 0.3271 −0.0450 −0.0633 41 Suction-Side 0.3350 −0.0394 −0.0648 42 Suction-Side 0.3428 −0.0336 −0.0663 43 Suction-Side 0.3505 −0.0276 −0.0678 44 Suction-Side 0.3580 −0.0215 −0.0693 45 Suction-Side 0.3654 −0.0151 −0.0707 46 Suction-Side 0.3726 −0.0087 −0.0721 47 Suction-Side 0.3798 −0.0020 −0.0735 48 Suction-Side 0.3868 0.0047 −0.0748 49 Suction-Side 0.3936 0.0116 −0.0762 50 Suction-Side 0.4004 0.0186 −0.0775 51 Suction-Side 0.4071 0.0257 −0.0788 52 Suction-Side 0.4136 0.0329 −0.0800 53 Suction-Side 0.4201 0.0402 −0.0813 54 Suction-Side 0.4264 0.0476 −0.0825 55 Suction-Side 0.4327 0.0551 −0.0837 56 Suction-Side 0.4389 0.0627 −0.0849 57 Suction-Side 0.4449 0.0703 −0.0861 58 Suction-Side 0.4510 0.0780 −0.0872 59 Suction-Side 0.4569 0.0857 −0.0884 60 Suction-Side 0.4627 0.0935 −0.0895 61 Suction-Side 0.4685 0.1014 −0.0906 62 Suction-Side 0.4742 0.1093 −0.0918 63 Suction-Side 0.4799 0.1173 −0.0928 64 Suction-Side 0.4855 0.1253 −0.0939 65 Suction-Side 0.4910 0.1333 −0.0950 66 Suction-Side 0.4965 0.1414 −0.0961 67 Suction-Side 0.5019 0.1495 −0.0971 68 Suction-Side 0.5073 0.1577 −0.0981 69 Suction-Side 0.5126 0.1659 −0.0992 70 Suction-Side 0.5179 0.1741 −0.1002 71 Suction-Side 0.5231 0.1823 −0.1012 72 Suction-Side 0.5283 0.1906 −0.1022 73 Suction-Side 0.5334 0.1989 −0.1032 74 Suction-Side 0.5386 0.2073 −0.1042 75 Suction-Side 0.5436 0.2156 −0.1052 76 Suction-Side 0.5487 0.2240 −0.1062 77 Suction-Side 0.5537 0.2324 −0.1071 78 Suction-Side 0.5586 0.2408 −0.1081 79 Suction-Side 0.5635 0.2493 −0.1090 80 Suction-Side 0.5684 0.2578 −0.1100 81 Suction-Side 0.5733 0.2663 −0.1109 82 Suction-Side 0.5781 0.2748 −0.1118 83 Suction-Side 0.5829 0.2833 −0.1128 84 Suction-Side 0.5876 0.2919 −0.1137 85 Suction-Side 0.5923 0.3004 −0.1146 86 Suction-Side 0.5970 0.3090 −0.1155 87 Suction-Side 0.6016 0.3176 −0.1164 88 Suction-Side 0.6062 0.3263 −0.1173 89 Suction-Side 0.6108 0.3349 −0.1182 90 Suction-Side 0.6153 0.3436 −0.1191 91 Suction-Side 0.6198 0.3523 −0.1199 92 Suction-Side 0.6243 0.3610 −0.1208 93 Suction-Side 0.6288 0.3697 −0.1217 94 Suction-Side 0.6332 0.3784 −0.1225 95 Suction-Side 0.6376 0.3872 −0.1234 96 Suction-Side 0.6395 0.3914 −0.1237 97 Suction-Side 0.6401 0.3949 −0.1238 98 Suction-Side 0.6394 0.3984 −0.1237 99 Suction-Side 0.6377 0.4014 −0.1234 100 Suction-Side 0.6350 0.4037 −0.1229 101 Pressure-Side 0.0001 −0.0013 0.0000 102 Pressure-Side 0.0003 0.0071 −0.0001 103 Pressure-Side 0.0020 0.0153 −0.0004 104 Pressure-Side 0.0050 0.0231 −0.0010 105 Pressure-Side 0.0094 0.0302 −0.0018 106 Pressure-Side 0.0150 0.0363 −0.0029 107 Pressure-Side 0.0216 0.0413 −0.0042 108 Pressure-Side 0.0289 0.0453 −0.0056 109 Pressure-Side 0.0365 0.0484 −0.0071 110 Pressure-Side 0.0444 0.0508 −0.0086 111 Pressure-Side 0.0524 0.0527 −0.0101 112 Pressure-Side 0.0605 0.0542 −0.0117 113 Pressure-Side 0.0687 0.0555 −0.0133 114 Pressure-Side 0.0769 0.0565 −0.0149 115 Pressure-Side 0.0851 0.0574 −0.0165 116 Pressure-Side 0.0933 0.0582 −0.0180 117 Pressure-Side 0.1015 0.0589 −0.0196 118 Pressure-Side 0.1097 0.0596 −0.0212 119 Pressure-Side 0.1179 0.0603 −0.0228 120 Pressure-Side 0.1261 0.0610 −0.0244 121 Pressure-Side 0.1344 0.0617 −0.0260 122 Pressure-Side 0.1426 0.0625 −0.0276 123 Pressure-Side 0.1508 0.0634 −0.0292 124 Pressure-Side 0.1590 0.0644 −0.0308 125 Pressure-Side 0.1671 0.0654 −0.0323 126 Pressure-Side 0.1753 0.0666 −0.0339 127 Pressure-Side 0.1834 0.0678 −0.0355 128 Pressure-Side 0.1916 0.0692 −0.0371 129 Pressure-Side 0.1997 0.0707 −0.0386 130 Pressure-Side 0.2078 0.0724 −0.0402 131 Pressure-Side 0.2158 0.0741 −0.0418 132 Pressure-Side 0.2239 0.0760 −0.0433 133 Pressure-Side 0.2319 0.0781 −0.0449 134 Pressure-Side 0.2398 0.0803 −0.0464 135 Pressure-Side 0.2477 0.0826 −0.0479 136 Pressure-Side 0.2556 0.0851 −0.0494 137 Pressure-Side 0.2634 0.0878 −0.0510 138 Pressure-Side 0.2712 0.0906 −0.0525 139 Pressure-Side 0.2789 0.0935 −0.0540 140 Pressure-Side 0.2866 0.0966 −0.0554 141 Pressure-Side 0.2942 0.0998 −0.0569 142 Pressure-Side 0.3018 0.1032 −0.0584 143 Pressure-Side 0.3093 0.1067 −0.0598 144 Pressure-Side 0.3167 0.1103 −0.0613 145 Pressure-Side 0.3240 0.1141 −0.0627 146 Pressure-Side 0.3314 0.1180 −0.0641 147 Pressure-Side 0.3386 0.1220 −0.0655 148 Pressure-Side 0.3458 0.1261 −0.0669 149 Pressure-Side 0.3529 0.1304 −0.0683 150 Pressure-Side 0.3599 0.1347 −0.0696 151 Pressure-Side 0.3669 0.1392 −0.0710 152 Pressure-Side 0.3738 0.1438 −0.0723 153 Pressure-Side 0.3806 0.1485 −0.0736 154 Pressure-Side 0.3874 0.1533 −0.0750 155 Pressure-Side 0.3941 0.1582 −0.0762 156 Pressure-Side 0.4007 0.1632 −0.0775 157 Pressure-Side 0.4073 0.1682 −0.0788 158 Pressure-Side 0.4138 0.1734 −0.0801 159 Pressure-Side 0.4203 0.1786 −0.0813 160 Pressure-Side 0.4267 0.1839 −0.0825 161 Pressure-Side 0.4330 0.1893 −0.0838 162 Pressure-Side 0.4393 0.1948 −0.0850 163 Pressure-Side 0.4455 0.2003 −0.0862 164 Pressure-Side 0.4516 0.2059 −0.0874 165 Pressure-Side 0.4577 0.2115 −0.0886 166 Pressure-Side 0.4637 0.2172 −0.0897 167 Pressure-Side 0.4697 0.2230 −0.0909 168 Pressure-Side 0.4757 0.2288 −0.0920 169 Pressure-Side 0.4816 0.2347 −0.0932 170 Pressure-Side 0.4874 0.2406 −0.0943 171 Pressure-Side 0.4932 0.2466 −0.0954 172 Pressure-Side 0.4989 0.2526 −0.0965 173 Pressure-Side 0.5046 0.2587 −0.0976 174 Pressure-Side 0.5103 0.2648 −0.0987 175 Pressure-Side 0.5159 0.2710 −0.0998 176 Pressure-Side 0.5215 0.2771 −0.1009 177 Pressure-Side 0.5270 0.2834 −0.1020 178 Pressure-Side 0.5325 0.2896 −0.1030 179 Pressure-Side 0.5380 0.2959 −0.1041 180 Pressure-Side 0.5434 0.3022 −0.1051 181 Pressure-Side 0.5488 0.3086 −0.1062 182 Pressure-Side 0.5542 0.3150 −0.1072 183 Pressure-Side 0.5595 0.3214 −0.1082 184 Pressure-Side 0.5648 0.3278 −0.1093 185 Pressure-Side 0.5701 0.3343 −0.1103 186 Pressure-Side 0.5753 0.3407 −0.1113 187 Pressure-Side 0.5805 0.3472 −0.1123 188 Pressure-Side 0.5857 0.3538 −0.1133 189 Pressure-Side 0.5908 0.3603 −0.1143 190 Pressure-Side 0.5960 0.3669 −0.1153 191 Pressure-Side 0.6010 0.3735 −0.1163 192 Pressure-Side 0.6061 0.3802 −0.1173 193 Pressure-Side 0.6112 0.3868 −0.1182 194 Pressure-Side 0.6162 0.3935 −0.1192 195 Pressure-Side 0.6211 0.4002 −0.1202 196 Pressure-Side 0.6239 0.4031 −0.1207 197 Pressure-Side 0.6265 0.4045 −0.1212 198 Pressure-Side 0.6294 0.4051 −0.1218 199 Pressure-Side 0.6323 0.4048 −0.1223 200 Pressure-Side 0.6350 0.4037 −0.1229 1 Suction-Side −0.0042 −0.0037 0.0500 2 Suction-Side −0.0038 −0.0135 0.0500 3 Suction-Side −0.0015 −0.0230 0.0500 4 Suction-Side 0.0023 −0.0320 0.0500 5 Suction-Side 0.0073 −0.0404 0.0500 6 Suction-Side 0.0132 −0.0482 0.0500 7 Suction-Side 0.0198 −0.0554 0.0500 8 Suction-Side 0.0270 −0.0620 0.0500 9 Suction-Side 0.0346 −0.0681 0.0500 10 Suction-Side 0.0426 −0.0738 0.0500 11 Suction-Side 0.0508 −0.0791 0.0500 12 Suction-Side 0.0593 −0.0839 0.0500 13 Suction-Side 0.0680 −0.0884 0.0500 14 Suction-Side 0.0770 −0.0924 0.0500 15 Suction-Side 0.0860 −0.0961 0.0500 16 Suction-Side 0.0952 −0.0994 0.0500 17 Suction-Side 0.1045 −0.1024 0.0500 18 Suction-Side 0.1140 −0.1050 0.0500 19 Suction-Side 0.1235 −0.1073 0.0500 20 Suction-Side 0.1331 −0.1091 0.0500 21 Suction-Side 0.1427 −0.1107 0.0500 22 Suction-Side 0.1524 −0.1118 0.0500 23 Suction-Side 0.1622 −0.1126 0.0500 24 Suction-Side 0.1720 −0.1130 0.0500 25 Suction-Side 0.1818 −0.1131 0.0500 26 Suction-Side 0.1915 −0.1127 0.0500 27 Suction-Side 0.2013 −0.1120 0.0500 28 Suction-Side 0.2110 −0.1109 0.0500 29 Suction-Side 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0.0500 56 Suction-Side 0.4350 0.0347 0.0500 57 Suction-Side 0.4411 0.0423 0.0500 58 Suction-Side 0.4471 0.0500 0.0500 59 Suction-Side 0.4530 0.0578 0.0500 60 Suction-Side 0.4589 0.0656 0.0500 61 Suction-Side 0.4646 0.0736 0.0500 62 Suction-Side 0.4703 0.0815 0.0500 63 Suction-Side 0.4759 0.0896 0.0500 64 Suction-Side 0.4814 0.0976 0.0500 65 Suction-Side 0.4868 0.1058 0.0500 66 Suction-Side 0.4922 0.1139 0.0500 67 Suction-Side 0.4975 0.1222 0.0500 68 Suction-Side 0.5028 0.1304 0.0500 69 Suction-Side 0.5079 0.1387 0.0500 70 Suction-Side 0.5131 0.1470 0.0500 71 Suction-Side 0.5181 0.1554 0.0500 72 Suction-Side 0.5232 0.1638 0.0500 73 Suction-Side 0.5282 0.1722 0.0500 74 Suction-Side 0.5331 0.1806 0.0500 75 Suction-Side 0.5380 0.1891 0.0500 76 Suction-Side 0.5428 0.1976 0.0500 77 Suction-Side 0.5476 0.2061 0.0500 78 Suction-Side 0.5524 0.2147 0.0500 79 Suction-Side 0.5571 0.2233 0.0500 80 Suction-Side 0.5618 0.2318 0.0500 81 Suction-Side 0.5664 0.2404 0.0500 82 Suction-Side 0.5711 0.2491 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Pressure-Side 0.0371 0.0403 0.0500 110 Pressure-Side 0.0450 0.0420 0.0500 111 Pressure-Side 0.0531 0.0433 0.0500 112 Pressure-Side 0.0612 0.0443 0.0500 113 Pressure-Side 0.0694 0.0451 0.0500 114 Pressure-Side 0.0775 0.0457 0.0500 115 Pressure-Side 0.0857 0.0462 0.0500 116 Pressure-Side 0.0938 0.0467 0.0500 117 Pressure-Side 0.1020 0.0470 0.0500 118 Pressure-Side 0.1102 0.0474 0.0500 119 Pressure-Side 0.1183 0.0478 0.0500 120 Pressure-Side 0.1265 0.0482 0.0500 121 Pressure-Side 0.1347 0.0486 0.0500 122 Pressure-Side 0.1428 0.0491 0.0500 123 Pressure-Side 0.1510 0.0497 0.0500 124 Pressure-Side 0.1591 0.0504 0.0500 125 Pressure-Side 0.1673 0.0512 0.0500 126 Pressure-Side 0.1754 0.0521 0.0500 127 Pressure-Side 0.1835 0.0531 0.0500 128 Pressure-Side 0.1916 0.0542 0.0500 129 Pressure-Side 0.1997 0.0554 0.0500 130 Pressure-Side 0.2077 0.0568 0.0500 131 Pressure-Side 0.2158 0.0583 0.0500 132 Pressure-Side 0.2238 0.0600 0.0500 133 Pressure-Side 0.2317 0.0618 0.0500 134 Pressure-Side 0.2397 0.0638 0.0500 135 Pressure-Side 0.2476 0.0659 0.0500 136 Pressure-Side 0.2554 0.0682 0.0500 137 Pressure-Side 0.2632 0.0706 0.0500 138 Pressure-Side 0.2710 0.0732 0.0500 139 Pressure-Side 0.2787 0.0759 0.0500 140 Pressure-Side 0.2863 0.0788 0.0500 141 Pressure-Side 0.2939 0.0818 0.0500 142 Pressure-Side 0.3014 0.0850 0.0500 143 Pressure-Side 0.3089 0.0884 0.0500 144 Pressure-Side 0.3163 0.0918 0.0500 145 Pressure-Side 0.3236 0.0954 0.0500 146 Pressure-Side 0.3309 0.0992 0.0500 147 Pressure-Side 0.3381 0.1031 0.0500 148 Pressure-Side 0.3452 0.1071 0.0500 149 Pressure-Side 0.3523 0.1112 0.0500 150 Pressure-Side 0.3593 0.1155 0.0500 151 Pressure-Side 0.3662 0.1198 0.0500 152 Pressure-Side 0.3730 0.1243 0.0500 153 Pressure-Side 0.3798 0.1289 0.0500 154 Pressure-Side 0.3865 0.1336 0.0500 155 Pressure-Side 0.3931 0.1384 0.0500 156 Pressure-Side 0.3996 0.1432 0.0500 157 Pressure-Side 0.4061 0.1482 0.0500 158 Pressure-Side 0.4125 0.1533 0.0500 159 Pressure-Side 0.4189 0.1585 0.0500 160 Pressure-Side 0.4252 0.1637 0.0500 161 Pressure-Side 0.4314 0.1690 0.0500 162 Pressure-Side 0.4375 0.1744 0.0500 163 Pressure-Side 0.4436 0.1799 0.0500 164 Pressure-Side 0.4496 0.1854 0.0500 165 Pressure-Side 0.4556 0.1910 0.0500 166 Pressure-Side 0.4615 0.1966 0.0500 167 Pressure-Side 0.4673 0.2024 0.0500 168 Pressure-Side 0.4731 0.2081 0.0500 169 Pressure-Side 0.4788 0.2140 0.0500 170 Pressure-Side 0.4845 0.2198 0.0500 171 Pressure-Side 0.4901 0.2258 0.0500 172 Pressure-Side 0.4957 0.2318 0.0500 173 Pressure-Side 0.5012 0.2378 0.0500 174 Pressure-Side 0.5067 0.2439 0.0500 175 Pressure-Side 0.5121 0.2500 0.0500 176 Pressure-Side 0.5175 0.2562 0.0500 177 Pressure-Side 0.5228 0.2623 0.0500 178 Pressure-Side 0.5281 0.2686 0.0500 179 Pressure-Side 0.5334 0.2748 0.0500 180 Pressure-Side 0.5386 0.2811 0.0500 181 Pressure-Side 0.5437 0.2875 0.0500 182 Pressure-Side 0.5489 0.2938 0.0500 183 Pressure-Side 0.5540 0.3002 0.0500 184 Pressure-Side 0.5591 0.3066 0.0500 185 Pressure-Side 0.5641 0.3131 0.0500 186 Pressure-Side 0.5691 0.3195 0.0500 187 Pressure-Side 0.5741 0.3260 0.0500 188 Pressure-Side 0.5790 0.3325 0.0500 189 Pressure-Side 0.5839 0.3390 0.0500 190 Pressure-Side 0.5888 0.3456 0.0500 191 Pressure-Side 0.5937 0.3521 0.0500 192 Pressure-Side 0.5986 0.3587 0.0500 193 Pressure-Side 0.6034 0.3653 0.0500 194 Pressure-Side 0.6082 0.3719 0.0500 195 Pressure-Side 0.6130 0.3786 0.0500 196 Pressure-Side 0.6156 0.3815 0.0500 197 Pressure-Side 0.6181 0.3830 0.0500 198 Pressure-Side 0.6209 0.3838 0.0500 199 Pressure-Side 0.6238 0.3837 0.0500 200 Pressure-Side 0.6266 0.3828 0.0500 1 Suction-Side −0.0168 −0.0254 0.2000 2 Suction-Side −0.0165 −0.0356 0.2000 3 Suction-Side −0.0140 −0.0454 0.2000 4 Suction-Side −0.0100 −0.0547 0.2000 5 Suction-Side −0.0047 −0.0634 0.2000 6 Suction-Side 0.0015 −0.0714 0.2000 7 Suction-Side 0.0084 −0.0788 0.2000 8 Suction-Side 0.0159 −0.0857 0.2000 9 Suction-Side 0.0238 −0.0921 0.2000 10 Suction-Side 0.0320 −0.0980 0.2000 11 Suction-Side 0.0406 −0.1035 0.2000 12 Suction-Side 0.0493 −0.1085 0.2000 13 Suction-Side 0.0584 −0.1132 0.2000 14 Suction-Side 0.0676 −0.1175 0.2000 15 Suction-Side 0.0769 −0.1214 0.2000 16 Suction-Side 0.0865 −0.1249 0.2000 17 Suction-Side 0.0961 −0.1281 0.2000 18 Suction-Side 0.1058 −0.1309 0.2000 19 Suction-Side 0.1157 −0.1334 0.2000 20 Suction-Side 0.1256 −0.1355 0.2000 21 Suction-Side 0.1356 −0.1372 0.2000 22 Suction-Side 0.1457 −0.1385 0.2000 23 Suction-Side 0.1558 −0.1395 0.2000 24 Suction-Side 0.1659 −0.1401 0.2000 25 Suction-Side 0.1761 −0.1403 0.2000 26 Suction-Side 0.1863 −0.1401 0.2000 27 Suction-Side 0.1964 −0.1396 0.2000 28 Suction-Side 0.2065 −0.1386 0.2000 29 Suction-Side 0.2166 −0.1373 0.2000 30 Suction-Side 0.2266 −0.1356 0.2000 31 Suction-Side 0.2365 −0.1335 0.2000 32 Suction-Side 0.2464 −0.1311 0.2000 33 Suction-Side 0.2561 −0.1282 0.2000 34 Suction-Side 0.2657 −0.1251 0.2000 35 Suction-Side 0.2753 −0.1215 0.2000 36 Suction-Side 0.2846 −0.1176 0.2000 37 Suction-Side 0.2939 −0.1134 0.2000 38 Suction-Side 0.3030 −0.1089 0.2000 39 Suction-Side 0.3119 −0.1041 0.2000 40 Suction-Side 0.3207 −0.0990 0.2000 41 Suction-Side 0.3293 −0.0936 0.2000 42 Suction-Side 0.3377 −0.0880 0.2000 43 Suction-Side 0.3460 −0.0821 0.2000 44 Suction-Side 0.3541 −0.0760 0.2000 45 Suction-Side 0.3621 −0.0697 0.2000 46 Suction-Side 0.3698 −0.0631 0.2000 47 Suction-Side 0.3774 −0.0564 0.2000 48 Suction-Side 0.3849 −0.0495 0.2000 49 Suction-Side 0.3922 −0.0425 0.2000 50 Suction-Side 0.3994 −0.0353 0.2000 51 Suction-Side 0.4064 −0.0279 0.2000 52 Suction-Side 0.4132 −0.0205 0.2000 53 Suction-Side 0.4200 −0.0129 0.2000 54 Suction-Side 0.4266 −0.0051 0.2000 55 Suction-Side 0.4330 0.0027 0.2000 56 Suction-Side 0.4394 0.0106 0.2000 57 Suction-Side 0.4456 0.0186 0.2000 58 Suction-Side 0.4518 0.0267 0.2000 59 Suction-Side 0.4578 0.0349 0.2000 60 Suction-Side 0.4637 0.0431 0.2000 61 Suction-Side 0.4696 0.0514 0.2000 62 Suction-Side 0.4753 0.0598 0.2000 63 Suction-Side 0.4810 0.0682 0.2000 64 Suction-Side 0.4865 0.0767 0.2000 65 Suction-Side 0.4920 0.0852 0.2000 66 Suction-Side 0.4974 0.0938 0.2000 67 Suction-Side 0.5028 0.1024 0.2000 68 Suction-Side 0.5081 0.1111 0.2000 69 Suction-Side 0.5133 0.1198 0.2000 70 Suction-Side 0.5185 0.1286 0.2000 71 Suction-Side 0.5236 0.1373 0.2000 72 Suction-Side 0.5286 0.1461 0.2000 73 Suction-Side 0.5336 0.1550 0.2000 74 Suction-Side 0.5386 0.1638 0.2000 75 Suction-Side 0.5435 0.1727 0.2000 76 Suction-Side 0.5483 0.1817 0.2000 77 Suction-Side 0.5531 0.1906 0.2000 78 Suction-Side 0.5579 0.1995 0.2000 79 Suction-Side 0.5626 0.2085 0.2000 80 Suction-Side 0.5674 0.2175 0.2000 81 Suction-Side 0.5720 0.2265 0.2000 82 Suction-Side 0.5766 0.2356 0.2000 83 Suction-Side 0.5812 0.2446 0.2000 84 Suction-Side 0.5858 0.2537 0.2000 85 Suction-Side 0.5903 0.2628 0.2000 86 Suction-Side 0.5948 0.2719 0.2000 87 Suction-Side 0.5993 0.2810 0.2000 88 Suction-Side 0.6037 0.2902 0.2000 89 Suction-Side 0.6081 0.2993 0.2000 90 Suction-Side 0.6125 0.3085 0.2000 91 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Pressure-Side 0.3310 0.0334 0.6000 147 Pressure-Side 0.3391 0.0380 0.6000 148 Pressure-Side 0.3471 0.0427 0.6000 149 Pressure-Side 0.3550 0.0475 0.6000 150 Pressure-Side 0.3627 0.0525 0.6000 151 Pressure-Side 0.3704 0.0577 0.6000 152 Pressure-Side 0.3780 0.0630 0.6000 153 Pressure-Side 0.3855 0.0684 0.6000 154 Pressure-Side 0.3929 0.0740 0.6000 155 Pressure-Side 0.4002 0.0797 0.6000 156 Pressure-Side 0.4074 0.0856 0.6000 157 Pressure-Side 0.4145 0.0915 0.6000 158 Pressure-Side 0.4215 0.0976 0.6000 159 Pressure-Side 0.4284 0.1037 0.6000 160 Pressure-Side 0.4352 0.1100 0.6000 161 Pressure-Side 0.4420 0.1164 0.6000 162 Pressure-Side 0.4486 0.1228 0.6000 163 Pressure-Side 0.4551 0.1294 0.6000 164 Pressure-Side 0.4616 0.1360 0.6000 165 Pressure-Side 0.4680 0.1427 0.6000 166 Pressure-Side 0.4743 0.1495 0.6000 167 Pressure-Side 0.4805 0.1564 0.6000 168 Pressure-Side 0.4867 0.1633 0.6000 169 Pressure-Side 0.4927 0.1703 0.6000 170 Pressure-Side 0.4988 0.1774 0.6000 171 Pressure-Side 0.5047 0.1844 0.6000 172 Pressure-Side 0.5106 0.1916 0.6000 173 Pressure-Side 0.5164 0.1988 0.6000 174 Pressure-Side 0.5222 0.2061 0.6000 175 Pressure-Side 0.5279 0.2134 0.6000 176 Pressure-Side 0.5335 0.2207 0.6000 177 Pressure-Side 0.5391 0.2281 0.6000 178 Pressure-Side 0.5446 0.2355 0.6000 179 Pressure-Side 0.5501 0.2430 0.6000 180 Pressure-Side 0.5556 0.2505 0.6000 181 Pressure-Side 0.5610 0.2580 0.6000 182 Pressure-Side 0.5663 0.2656 0.6000 183 Pressure-Side 0.5717 0.2731 0.6000 184 Pressure-Side 0.5770 0.2807 0.6000 185 Pressure-Side 0.5822 0.2884 0.6000 186 Pressure-Side 0.5874 0.2960 0.6000 187 Pressure-Side 0.5926 0.3037 0.6000 188 Pressure-Side 0.5978 0.3114 0.6000 189 Pressure-Side 0.6029 0.3191 0.6000 190 Pressure-Side 0.6080 0.3268 0.6000 191 Pressure-Side 0.6131 0.3346 0.6000 192 Pressure-Side 0.6182 0.3423 0.6000 193 Pressure-Side 0.6232 0.3501 0.6000 194 Pressure-Side 0.6282 0.3579 0.6000 195 Pressure-Side 0.6332 0.3657 0.6000 196 Pressure-Side 0.6358 0.3693 0.6000 197 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Suction-Side −0.0588 −0.1450 0.8000 5 Suction-Side −0.0522 −0.1547 0.8000 6 Suction-Side −0.0446 −0.1637 0.8000 7 Suction-Side −0.0362 −0.1720 0.8000 8 Suction-Side −0.0273 −0.1797 0.8000 9 Suction-Side −0.0178 −0.1868 0.8000 10 Suction-Side −0.0080 −0.1933 0.8000 11 Suction-Side 0.0021 −0.1994 0.8000 12 Suction-Side 0.0124 −0.2050 0.8000 13 Suction-Side 0.0230 −0.2102 0.8000 14 Suction-Side 0.0338 −0.2149 0.8000 15 Suction-Side 0.0448 −0.2192 0.8000 16 Suction-Side 0.0559 −0.2232 0.8000 17 Suction-Side 0.0672 −0.2267 0.8000 18 Suction-Side 0.0785 −0.2298 0.8000 19 Suction-Side 0.0900 −0.2325 0.8000 20 Suction-Side 0.1016 −0.2348 0.8000 21 Suction-Side 0.1132 −0.2366 0.8000 22 Suction-Side 0.1249 −0.2381 0.8000 23 Suction-Side 0.1367 −0.2390 0.8000 24 Suction-Side 0.1485 −0.2396 0.8000 25 Suction-Side 0.1603 −0.2397 0.8000 26 Suction-Side 0.1721 −0.2393 0.8000 27 Suction-Side 0.1838 −0.2385 0.8000 28 Suction-Side 0.1955 −0.2372 0.8000 29 Suction-Side 0.2072 −0.2354 0.8000 30 Suction-Side 0.2188 −0.2331 0.8000 31 Suction-Side 0.2302 −0.2303 0.8000 32 Suction-Side 0.2416 −0.2271 0.8000 33 Suction-Side 0.2528 −0.2234 0.8000 34 Suction-Side 0.2638 −0.2193 0.8000 35 Suction-Side 0.2747 −0.2147 0.8000 36 Suction-Side 0.2853 −0.2097 0.8000 37 Suction-Side 0.2958 −0.2043 0.8000 38 Suction-Side 0.3061 −0.1984 0.8000 39 Suction-Side 0.3161 −0.1923 0.8000 40 Suction-Side 0.3260 −0.1857 0.8000 41 Suction-Side 0.3356 −0.1789 0.8000 42 Suction-Side 0.3449 −0.1718 0.8000 43 Suction-Side 0.3541 −0.1643 0.8000 44 Suction-Side 0.3630 −0.1566 0.8000 45 Suction-Side 0.3718 −0.1487 0.8000 46 Suction-Side 0.3803 −0.1405 0.8000 47 Suction-Side 0.3886 −0.1322 0.8000 48 Suction-Side 0.3967 −0.1236 0.8000 49 Suction-Side 0.4046 −0.1149 0.8000 50 Suction-Side 0.4124 −0.1060 0.8000 51 Suction-Side 0.4199 −0.0969 0.8000 52 Suction-Side 0.4273 −0.0878 0.8000 53 Suction-Side 0.4346 −0.0785 0.8000 54 Suction-Side 0.4417 −0.0690 0.8000 55 Suction-Side 0.4486 −0.0595 0.8000 56 Suction-Side 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Suction-Side 0.6052 0.2306 0.8000 84 Suction-Side 0.6100 0.2414 0.8000 85 Suction-Side 0.6147 0.2522 0.8000 86 Suction-Side 0.6193 0.2630 0.8000 87 Suction-Side 0.6239 0.2739 0.8000 88 Suction-Side 0.6285 0.2847 0.8000 89 Suction-Side 0.6330 0.2956 0.8000 90 Suction-Side 0.6375 0.3065 0.8000 91 Suction-Side 0.6420 0.3175 0.8000 92 Suction-Side 0.6464 0.3284 0.8000 93 Suction-Side 0.6508 0.3393 0.8000 94 Suction-Side 0.6552 0.3503 0.8000 95 Suction-Side 0.6595 0.3612 0.8000 96 Suction-Side 0.6595 0.3612 0.8000 97 Suction-Side 0.6603 0.3650 0.8000 98 Suction-Side 0.6596 0.3687 0.8000 99 Suction-Side 0.6577 0.3720 0.8000 100 Suction-Side 0.6547 0.3744 0.8000 101 Pressure-Side −0.0681 −0.1113 0.8000 102 Pressure-Side −0.0667 −0.1018 0.8000 103 Pressure-Side −0.0631 −0.0929 0.8000 104 Pressure-Side −0.0573 −0.0852 0.8000 105 Pressure-Side −0.0501 −0.0789 0.8000 106 Pressure-Side −0.0419 −0.0739 0.8000 107 Pressure-Side −0.0331 −0.0699 0.8000 108 Pressure-Side −0.0241 −0.0666 0.8000 109 Pressure-Side −0.0149 −0.0640 0.8000 110 Pressure-Side −0.0055 −0.0617 0.8000 111 Pressure-Side 0.0039 −0.0598 0.8000 112 Pressure-Side 0.0134 −0.0581 0.8000 113 Pressure-Side 0.0229 −0.0566 0.8000 114 Pressure-Side 0.0324 −0.0552 0.8000 115 Pressure-Side 0.0420 −0.0539 0.8000 116 Pressure-Side 0.0515 −0.0528 0.8000 117 Pressure-Side 0.0611 −0.0516 0.8000 118 Pressure-Side 0.0706 −0.0505 0.8000 119 Pressure-Side 0.0802 −0.0493 0.8000 120 Pressure-Side 0.0897 −0.0482 0.8000 121 Pressure-Side 0.0993 −0.0470 0.8000 122 Pressure-Side 0.1088 −0.0458 0.8000 123 Pressure-Side 0.1184 −0.0445 0.8000 124 Pressure-Side 0.1279 −0.0432 0.8000 125 Pressure-Side 0.1374 −0.0417 0.8000 126 Pressure-Side 0.1469 −0.0402 0.8000 127 Pressure-Side 0.1564 −0.0386 0.8000 128 Pressure-Side 0.1658 −0.0368 0.8000 129 Pressure-Side 0.1753 −0.0349 0.8000 130 Pressure-Side 0.1847 −0.0329 0.8000 131 Pressure-Side 0.1941 −0.0308 0.8000 132 Pressure-Side 0.2034 −0.0285 0.8000 133 Pressure-Side 0.2127 −0.0261 0.8000 134 Pressure-Side 0.2220 −0.0235 0.8000 135 Pressure-Side 0.2312 −0.0207 0.8000 136 Pressure-Side 0.2404 −0.0178 0.8000 137 Pressure-Side 0.2495 −0.0147 0.8000 138 Pressure-Side 0.2586 −0.0115 0.8000 139 Pressure-Side 0.2676 −0.0081 0.8000 140 Pressure-Side 0.2765 −0.0045 0.8000 141 Pressure-Side 0.2853 −0.0007 0.8000 142 Pressure-Side 0.2941 0.0033 0.8000 143 Pressure-Side 0.3028 0.0074 0.8000 144 Pressure-Side 0.3114 0.0117 0.8000 145 Pressure-Side 0.3199 0.0161 0.8000 146 Pressure-Side 0.3284 0.0208 0.8000 147 Pressure-Side 0.3367 0.0256 0.8000 148 Pressure-Side 0.3449 0.0305 0.8000 149 Pressure-Side 0.3531 0.0357 0.8000 150 Pressure-Side 0.3612 0.0409 0.8000 151 Pressure-Side 0.3691 0.0463 0.8000 152 Pressure-Side 0.3769 0.0519 0.8000 153 Pressure-Side 0.3847 0.0576 0.8000 154 Pressure-Side 0.3923 0.0635 0.8000 155 Pressure-Side 0.3999 0.0694 0.8000 156 Pressure-Side 0.4073 0.0755 0.8000 157 Pressure-Side 0.4147 0.0817 0.8000 158 Pressure-Side 0.4219 0.0881 0.8000 159 Pressure-Side 0.4291 0.0945 0.8000 160 Pressure-Side 0.4361 0.1010 0.8000 161 Pressure-Side 0.4431 0.1077 0.8000 162 Pressure-Side 0.4500 0.1144 0.8000 163 Pressure-Side 0.4568 0.1212 0.8000 164 Pressure-Side 0.4635 0.1281 0.8000 165 Pressure-Side 0.4701 0.1351 0.8000 166 Pressure-Side 0.4766 0.1422 0.8000 167 Pressure-Side 0.4830 0.1493 0.8000 168 Pressure-Side 0.4894 0.1566 0.8000 169 Pressure-Side 0.4957 0.1638 0.8000 170 Pressure-Side 0.5019 0.1712 0.8000 171 Pressure-Side 0.5081 0.1786 0.8000 172 Pressure-Side 0.5141 0.1861 0.8000 173 Pressure-Side 0.5201 0.1936 0.8000 174 Pressure-Side 0.5261 0.2011 0.8000 175 Pressure-Side 0.5320 0.2088 0.8000 176 Pressure-Side 0.5378 0.2164 0.8000 177 Pressure-Side 0.5435 0.2241 0.8000 178 Pressure-Side 0.5492 0.2319 0.8000 179 Pressure-Side 0.5549 0.2397 0.8000 180 Pressure-Side 0.5605 0.2475 0.8000 181 Pressure-Side 0.5660 0.2553 0.8000 182 Pressure-Side 0.5716 0.2632 0.8000 183 Pressure-Side 0.5770 0.2712 0.8000 184 Pressure-Side 0.5824 0.2791 0.8000 185 Pressure-Side 0.5878 0.2871 0.8000 186 Pressure-Side 0.5931 0.2951 0.8000 187 Pressure-Side 0.5984 0.3031 0.8000 188 Pressure-Side 0.6037 0.3112 0.8000 189 Pressure-Side 0.6089 0.3193 0.8000 190 Pressure-Side 0.6141 0.3274 0.8000 191 Pressure-Side 0.6193 0.3355 0.8000 192 Pressure-Side 0.6244 0.3437 0.8000 193 Pressure-Side 0.6295 0.3518 0.8000 194 Pressure-Side 0.6346 0.3600 0.8000 195 Pressure-Side 0.6396 0.3682 0.8000 196 Pressure-Side 0.6421 0.3720 0.8000 197 Pressure-Side 0.6448 0.3742 0.8000 198 Pressure-Side 0.6480 0.3755 0.8000 199 Pressure-Side 0.6514 0.3755 0.8000 200 Pressure-Side 0.6547 0.3744 0.8000 1 Suction-Side −0.0763 −0.1256 0.8987 2 Suction-Side −0.0754 −0.1379 0.8988 3 Suction-Side −0.0720 −0.1497 0.8996 4 Suction-Side −0.0666 −0.1607 0.9008 5 Suction-Side −0.0598 −0.1708 0.9023 6 Suction-Side −0.0520 −0.1802 0.9040 7 Suction-Side −0.0434 −0.1888 0.9058 8 Suction-Side −0.0343 −0.1968 0.9078 9 Suction-Side −0.0247 −0.2042 0.9099 10 Suction-Side −0.0147 −0.2111 0.9121 11 Suction-Side −0.0044 −0.2175 0.9144 12 Suction-Side 0.0061 −0.2234 0.9167 13 Suction-Side 0.0169 −0.2288 0.9191 14 Suction-Side 0.0279 −0.2338 0.9215 15 Suction-Side 0.0390 −0.2384 0.9239 16 Suction-Side 0.0504 −0.2426 0.9264 17 Suction-Side 0.0618 −0.2463 0.9289 18 Suction-Side 0.0734 −0.2496 0.9314 19 Suction-Side 0.0851 −0.2526 0.9340 20 Suction-Side 0.0969 −0.2551 0.9366 21 Suction-Side 0.1087 −0.2571 0.9392 22 Suction-Side 0.1206 −0.2588 0.9418 23 Suction-Side 0.1326 −0.2600 0.9444 24 Suction-Side 0.1446 −0.2607 0.9470 25 Suction-Side 0.1566 −0.2610 0.9496 26 Suction-Side 0.1686 −0.2609 0.9523 27 Suction-Side 0.1807 −0.2602 0.9549 28 Suction-Side 0.1926 −0.2591 0.9575 29 Suction-Side 0.2046 −0.2574 0.9601 30 Suction-Side 0.2164 −0.2553 0.9627 31 Suction-Side 0.2281 −0.2527 0.9653 32 Suction-Side 0.2398 −0.2496 0.9678 33 Suction-Side 0.2513 −0.2461 0.9704 34 Suction-Side 0.2627 −0.2420 0.9729 35 Suction-Side 0.2738 −0.2375 0.9753 36 Suction-Side 0.2848 −0.2325 0.9777 37 Suction-Side 0.2956 −0.2271 0.9801 38 Suction-Side 0.3062 −0.2213 0.9824 39 Suction-Side 0.3166 −0.2150 0.9847 40 Suction-Side 0.3267 −0.2084 0.9869 41 Suction-Side 0.3367 −0.2015 0.9891 42 Suction-Side 0.3464 −0.1942 0.9912 43 Suction-Side 0.3558 −0.1866 0.9933 44 Suction-Side 0.3650 −0.1786 0.9953 45 Suction-Side 0.3740 −0.1705 0.9972 46 Suction-Side 0.3828 −0.1621 0.9992 47 Suction-Side 0.3913 −0.1534 1.0010 48 Suction-Side 0.3997 −0.1446 1.0029 49 Suction-Side 0.4078 −0.1355 1.0047 50 Suction-Side 0.4158 −0.1262 1.0064 51 Suction-Side 0.4236 −0.1169 1.0081 52 Suction-Side 0.4311 −0.1073 1.0097 53 Suction-Side 0.4386 −0.0976 1.0114 54 Suction-Side 0.4458 −0.0878 1.0130 55 Suction-Side 0.4529 −0.0778 1.0145 56 Suction-Side 0.4599 −0.0678 1.0160 57 Suction-Side 0.4667 −0.0576 1.0175 58 Suction-Side 0.4733 −0.0474 1.0190 59 Suction-Side 0.4799 −0.0371 1.0204 60 Suction-Side 0.4863 −0.0267 1.0218 61 Suction-Side 0.4926 −0.0162 1.0232 62 Suction-Side 0.4989 −0.0057 1.0246 63 Suction-Side 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0.9236 116 Pressure-Side 0.0473 −0.0662 0.9257 117 Pressure-Side 0.0570 −0.0648 0.9278 118 Pressure-Side 0.0668 −0.0635 0.9300 119 Pressure-Side 0.0765 −0.0622 0.9321 120 Pressure-Side 0.0862 −0.0608 0.9342 121 Pressure-Side 0.0960 −0.0594 0.9364 122 Pressure-Side 0.1057 −0.0579 0.9385 123 Pressure-Side 0.1154 −0.0564 0.9406 124 Pressure-Side 0.1251 −0.0547 0.9427 125 Pressure-Side 0.1347 −0.0530 0.9448 126 Pressure-Side 0.1444 −0.0511 0.9470 127 Pressure-Side 0.1540 −0.0492 0.9491 128 Pressure-Side 0.1636 −0.0471 0.9512 129 Pressure-Side 0.1732 −0.0448 0.9533 130 Pressure-Side 0.1827 −0.0425 0.9554 131 Pressure-Side 0.1923 −0.0400 0.9574 132 Pressure-Side 0.2017 −0.0373 0.9595 133 Pressure-Side 0.2112 −0.0345 0.9616 134 Pressure-Side 0.2206 −0.0316 0.9636 135 Pressure-Side 0.2299 −0.0285 0.9657 136 Pressure-Side 0.2392 −0.0252 0.9677 137 Pressure-Side 0.2484 −0.0218 0.9697 138 Pressure-Side 0.2576 −0.0181 0.9718 139 Pressure-Side 0.2667 −0.0144 0.9737 140 Pressure-Side 0.2757 −0.0104 0.9757 141 Pressure-Side 0.2847 −0.0063 0.9777 142 Pressure-Side 0.2936 −0.0020 0.9796 143 Pressure-Side 0.3024 0.0024 0.9816 144 Pressure-Side 0.3111 0.0070 0.9835 145 Pressure-Side 0.3198 0.0118 0.9854 146 Pressure-Side 0.3283 0.0167 0.9872 147 Pressure-Side 0.3368 0.0218 0.9891 148 Pressure-Side 0.3452 0.0270 0.9909 149 Pressure-Side 0.3535 0.0324 0.9927 150 Pressure-Side 0.3617 0.0379 0.9945 151 Pressure-Side 0.3698 0.0436 0.9963 152 Pressure-Side 0.3778 0.0493 0.9981 153 Pressure-Side 0.3858 0.0553 0.9998 154 Pressure-Side 0.3936 0.0613 1.0015 155 Pressure-Side 0.4013 0.0675 1.0032 156 Pressure-Side 0.4090 0.0738 1.0049 157 Pressure-Side 0.4166 0.0802 1.0066 158 Pressure-Side 0.4240 0.0867 1.0082 159 Pressure-Side 0.4314 0.0934 1.0098 160 Pressure-Side 0.4387 0.1001 1.0114 161 Pressure-Side 0.4459 0.1069 1.0130 162 Pressure-Side 0.4530 0.1139 1.0145 163 Pressure-Side 0.4601 0.1209 1.0161 164 Pressure-Side 0.4670 0.1280 1.0176 165 Pressure-Side 0.4739 0.1352 1.0191 166 Pressure-Side 0.4807 0.1424 1.0206 167 Pressure-Side 0.4874 0.1498 1.0221 168 Pressure-Side 0.4940 0.1572 1.0235 169 Pressure-Side 0.5006 0.1647 1.0250 170 Pressure-Side 0.5071 0.1722 1.0264 171 Pressure-Side 0.5135 0.1799 1.0278 172 Pressure-Side 0.5198 0.1875 1.0292 173 Pressure-Side 0.5261 0.1953 1.0305 174 Pressure-Side 0.5323 0.2031 1.0319 175 Pressure-Side 0.5384 0.2109 1.0332 176 Pressure-Side 0.5445 0.2188 1.0346 177 Pressure-Side 0.5505 0.2268 1.0359 178 Pressure-Side 0.5564 0.2348 1.0372 179 Pressure-Side 0.5623 0.2429 1.0385 180 Pressure-Side 0.5681 0.2510 1.0397 181 Pressure-Side 0.5739 0.2591 1.0410 182 Pressure-Side 0.5796 0.2673 1.0422 183 Pressure-Side 0.5852 0.2755 1.0435 184 Pressure-Side 0.5908 0.2838 1.0447 185 Pressure-Side 0.5963 0.2921 1.0459 186 Pressure-Side 0.6018 0.3004 1.0471 187 Pressure-Side 0.6073 0.3088 1.0483 188 Pressure-Side 0.6126 0.3172 1.0495 189 Pressure-Side 0.6180 0.3256 1.0507 190 Pressure-Side 0.6233 0.3341 1.0518 191 Pressure-Side 0.6285 0.3426 1.0530 192 Pressure-Side 0.6337 0.3511 1.0541 193 Pressure-Side 0.6389 0.3597 1.0552 194 Pressure-Side 0.6440 0.3683 1.0564 195 Pressure-Side 0.6490 0.3769 1.0575 196 Pressure-Side 0.6515 0.3810 1.0580 197 Pressure-Side 0.6542 0.3833 1.0586 198 Pressure-Side 0.6575 0.3846 1.0593 199 Pressure-Side 0.6610 0.3846 1.0601 200 Pressure-Side 0.6643 0.3834 1.0608 1 Suction-Side −0.0837 −0.1397 0.9872 2 Suction-Side −0.0824 −0.1527 0.9877 3 Suction-Side −0.0784 −0.1651 0.9894 4 Suction-Side −0.0724 −0.1764 0.9918 5 Suction-Side −0.0651 −0.1869 0.9948 6 Suction-Side −0.0568 −0.1964 0.9982 7 Suction-Side −0.0478 −0.2052 1.0018 8 Suction-Side −0.0383 −0.2133 1.0057 9 Suction-Side −0.0283 −0.2208 1.0098 10 Suction-Side −0.0180 −0.2278 1.0139 11 Suction-Side −0.0074 −0.2342 1.0183 12 Suction-Side 0.0034 −0.2401 1.0227 13 Suction-Side 0.0144 −0.2455 1.0272 14 Suction-Side 0.0256 −0.2505 1.0317 15 Suction-Side 0.0370 −0.2551 1.0364 16 Suction-Side 0.0486 −0.2592 1.0410 17 Suction-Side 0.0602 −0.2629 1.0458 18 Suction-Side 0.0719 −0.2661 1.0506 19 Suction-Side 0.0838 −0.2689 1.0554 20 Suction-Side 0.0957 −0.2713 1.0603 21 Suction-Side 0.1077 −0.2733 1.0651 22 Suction-Side 0.1198 −0.2748 1.0700 23 Suction-Side 0.1319 −0.2759 1.0750 24 Suction-Side 0.1440 −0.2765 1.0799 25 Suction-Side 0.1561 −0.2766 1.0848 26 Suction-Side 0.1683 −0.2763 1.0898 27 Suction-Side 0.1804 −0.2756 1.0947 28 Suction-Side 0.1925 −0.2743 1.0996 29 Suction-Side 0.2045 −0.2726 1.1045 30 Suction-Side 0.2165 −0.2704 1.1094 31 Suction-Side 0.2283 −0.2677 1.1142 32 Suction-Side 0.2401 −0.2645 1.1190 33 Suction-Side 0.2518 −0.2609 1.1238 34 Suction-Side 0.2633 −0.2568 1.1285 35 Suction-Side 0.2747 −0.2522 1.1331 36 Suction-Side 0.2859 −0.2471 1.1377 37 Suction-Side 0.2969 −0.2417 1.1421 38 Suction-Side 0.3077 −0.2358 1.1465 39 Suction-Side 0.3183 −0.2294 1.1509 40 Suction-Side 0.3288 −0.2227 1.1551 41 Suction-Side 0.3390 −0.2156 1.1593 42 Suction-Side 0.3490 −0.2082 1.1633 43 Suction-Side 0.3587 −0.2004 1.1673 44 Suction-Side 0.3682 −0.1923 1.1712 45 Suction-Side 0.3776 −0.1839 1.1750 46 Suction-Side 0.3867 −0.1752 1.1787 47 Suction-Side 0.3955 −0.1663 1.1823 48 Suction-Side 0.4042 −0.1571 1.1858 49 Suction-Side 0.4127 −0.1477 1.1893 50 Suction-Side 0.4210 −0.1382 1.1926 51 Suction-Side 0.4290 −0.1284 1.1959 52 Suction-Side 0.4369 −0.1184 1.1991 53 Suction-Side 0.4446 −0.1083 1.2023 54 Suction-Side 0.4522 −0.0980 1.2053 55 Suction-Side 0.4595 −0.0876 1.2083 56 Suction-Side 0.4667 −0.0771 1.2113 57 Suction-Side 0.4738 −0.0664 1.2142 58 Suction-Side 0.4807 −0.0557 1.2170 59 Suction-Side 0.4875 −0.0448 1.2197 60 Suction-Side 0.4942 −0.0338 1.2224 61 Suction-Side 0.5007 −0.0228 1.2251 62 Suction-Side 0.5071 −0.0117 1.2277 63 Suction-Side 0.5134 −0.0005 1.2303 64 Suction-Side 0.5196 0.0108 1.2328 65 Suction-Side 0.5257 0.0221 1.2353 66 Suction-Side 0.5317 0.0335 1.2377 67 Suction-Side 0.5377 0.0449 1.2402 68 Suction-Side 0.5435 0.0564 1.2425 69 Suction-Side 0.5492 0.0680 1.2449 70 Suction-Side 0.5549 0.0796 1.2472 71 Suction-Side 0.5605 0.0912 1.2494 72 Suction-Side 0.5660 0.1029 1.2517 73 Suction-Side 0.5714 0.1146 1.2539 74 Suction-Side 0.5768 0.1263 1.2561 75 Suction-Side 0.5821 0.1381 1.2583 76 Suction-Side 0.5874 0.1499 1.2604 77 Suction-Side 0.5926 0.1618 1.2625 78 Suction-Side 0.5977 0.1736 1.2646 79 Suction-Side 0.6028 0.1855 1.2667 80 Suction-Side 0.6078 0.1975 1.2687 81 Suction-Side 0.6128 0.2094 1.2707 82 Suction-Side 0.6177 0.2214 1.2727 83 Suction-Side 0.6226 0.2334 1.2747 84 Suction-Side 0.6274 0.2454 1.2767 85 Suction-Side 0.6322 0.2575 1.2786 86 Suction-Side 0.6369 0.2696 1.2805 87 Suction-Side 0.6415 0.2816 1.2824 88 Suction-Side 0.6462 0.2938 1.2843 89 Suction-Side 0.6507 0.3059 1.2862 90 Suction-Side 0.6553 0.3180 1.2880 91 Suction-Side 0.6597 0.3302 1.2898 92 Suction-Side 0.6642 0.3424 1.2916 93 Suction-Side 0.6685 0.3547 1.2934 94 Suction-Side 0.6729 0.3669 1.2952 95 Suction-Side 0.6772 0.3791 1.2969 96 Suction-Side 0.6792 0.3850 1.2978 97 Suction-Side 0.6807 0.3895 1.2984 98 Suction-Side 0.6807 0.3941 1.2984 99 Suction-Side 0.6788 0.3983 1.2976 100 Suction-Side 0.6754 0.4012 1.2962 101 Pressure-Side −0.0837 −0.1397 0.9872 102 Pressure-Side −0.0820 −0.1292 0.9879 103 Pressure-Side −0.0777 −0.1195 0.9896 104 Pressure-Side −0.0712 −0.1114 0.9923 105 Pressure-Side −0.0632 −0.1051 0.9956 106 Pressure-Side −0.0544 −0.1001 0.9991 107 Pressure-Side −0.0451 −0.0961 1.0029 108 Pressure-Side −0.0357 −0.0928 1.0068 109 Pressure-Side −0.0260 −0.0900 1.0107 110 Pressure-Side −0.0163 −0.0877 1.0146 111 Pressure-Side −0.0066 −0.0856 1.0186 112 Pressure-Side 0.0032 −0.0837 1.0226 113 Pressure-Side 0.0131 −0.0819 1.0266 114 Pressure-Side 0.0229 −0.0802 1.0306 115 Pressure-Side 0.0327 −0.0786 1.0346 116 Pressure-Side 0.0426 −0.0770 1.0386 117 Pressure-Side 0.0524 −0.0755 1.0426 118 Pressure-Side 0.0623 −0.0739 1.0466 119 Pressure-Side 0.0721 −0.0722 1.0506 120 Pressure-Side 0.0820 −0.0705 1.0546 121 Pressure-Side 0.0918 −0.0688 1.0586 122 Pressure-Side 0.1016 −0.0669 1.0626 123 Pressure-Side 0.1114 −0.0650 1.0666 124 Pressure-Side 0.1212 −0.0630 1.0706 125 Pressure-Side 0.1309 −0.0608 1.0746 126 Pressure-Side 0.1406 −0.0586 1.0785 127 Pressure-Side 0.1503 −0.0562 1.0825 128 Pressure-Side 0.1600 −0.0537 1.0864 129 Pressure-Side 0.1697 −0.0510 1.0904 130 Pressure-Side 0.1793 −0.0482 1.0943 131 Pressure-Side 0.1889 −0.0453 1.0982 132 Pressure-Side 0.1984 −0.0422 1.1021 133 Pressure-Side 0.2079 −0.0390 1.1059 134 Pressure-Side 0.2174 −0.0356 1.1098 135 Pressure-Side 0.2267 −0.0321 1.1136 136 Pressure-Side 0.2361 −0.0284 1.1174 137 Pressure-Side 0.2454 −0.0245 1.1212 138 Pressure-Side 0.2546 −0.0205 1.1249 139 Pressure-Side 0.2638 −0.0164 1.1287 140 Pressure-Side 0.2729 −0.0120 1.1324 141 Pressure-Side 0.2820 −0.0076 1.1361 142 Pressure-Side 0.2910 −0.0030 1.1397 143 Pressure-Side 0.2999 0.0018 1.1434 144 Pressure-Side 0.3088 0.0067 1.1470 145 Pressure-Side 0.3175 0.0118 1.1505 146 Pressure-Side 0.3262 0.0170 1.1541 147 Pressure-Side 0.3349 0.0224 1.1576 148 Pressure-Side 0.3434 0.0279 1.1611 149 Pressure-Side 0.3519 0.0335 1.1645 150 Pressure-Side 0.3603 0.0393 1.1680 151 Pressure-Side 0.3686 0.0452 1.1713 152 Pressure-Side 0.3769 0.0512 1.1747 153 Pressure-Side 0.3850 0.0574 1.1780 154 Pressure-Side 0.3931 0.0636 1.1813 155 Pressure-Side 0.4011 0.0700 1.1846 156 Pressure-Side 0.4090 0.0765 1.1878 157 Pressure-Side 0.4169 0.0832 1.1910 158 Pressure-Side 0.4246 0.0899 1.1941 159 Pressure-Side 0.4323 0.0968 1.1973 160 Pressure-Side 0.4399 0.1037 1.2004 161 Pressure-Side 0.4474 0.1107 1.2034 162 Pressure-Side 0.4549 0.1179 1.2065 163 Pressure-Side 0.4622 0.1251 1.2094 164 Pressure-Side 0.4695 0.1324 1.2124 165 Pressure-Side 0.4767 0.1399 1.2154 166 Pressure-Side 0.4839 0.1474 1.2183 167 Pressure-Side 0.4909 0.1549 1.2211 168 Pressure-Side 0.4979 0.1626 1.2240 169 Pressure-Side 0.5048 0.1704 1.2268 170 Pressure-Side 0.5116 0.1782 1.2296 171 Pressure-Side 0.5184 0.1861 1.2323 172 Pressure-Side 0.5251 0.1940 1.2350 173 Pressure-Side 0.5317 0.2021 1.2377 174 Pressure-Side 0.5382 0.2102 1.2404 175 Pressure-Side 0.5447 0.2183 1.2430 176 Pressure-Side 0.5511 0.2266 1.2456 177 Pressure-Side 0.5574 0.2349 1.2482 178 Pressure-Side 0.5637 0.2432 1.2508 179 Pressure-Side 0.5699 0.2516 1.2533 180 Pressure-Side 0.5760 0.2601 1.2558 181 Pressure-Side 0.5821 0.2686 1.2582 182 Pressure-Side 0.5881 0.2772 1.2607 183 Pressure-Side 0.5940 0.2859 1.2631 184 Pressure-Side 0.5999 0.2945 1.2655 185 Pressure-Side 0.6057 0.3033 1.2678 186 Pressure-Side 0.6114 0.3120 1.2702 187 Pressure-Side 0.6171 0.3209 1.2725 188 Pressure-Side 0.6227 0.3298 1.2748 189 Pressure-Side 0.6283 0.3387 1.2770 190 Pressure-Side 0.6338 0.3476 1.2793 191 Pressure-Side 0.6392 0.3567 1.2815 192 Pressure-Side 0.6445 0.3657 1.2837 193 Pressure-Side 0.6498 0.3748 1.2858 194 Pressure-Side 0.6551 0.3840 1.2879 195 Pressure-Side 0.6602 0.3932 1.2900 196 Pressure-Side 0.6627 0.3976 1.2910 197 Pressure-Side 0.6652 0.4003 1.2921 198 Pressure-Side 0.6684 0.4019 1.2934 199 Pressure-Side 0.6720 0.4022 1.2948 200 Pressure-Side 0.6754 0.4012 1.2962

Turning to FIG. 7, a schematic view of portions of a multi-shaft combined cycle power plant 900 is shown. Combined cycle power plant 900 may include, for example, a gas turbine 980 operably connected to a generator 970. Generator 970 and gas turbine 980 may be mechanically coupled by a shaft 915, which may transfer energy between a drive shaft (not shown) of gas turbine 980 and generator 970. Also shown in FIG. 7 is a heat exchanger 986 operably connected to gas turbine 980 and a steam turbine 992. Heat exchanger 986 may be fluidly connected to both gas turbine 980 and a steam turbine 992 via conventional conduits (numbering omitted). Gas turbine 980 and/or steam turbine 992 may include one or more nozzles 200 as shown and described with reference to FIG. 2 and/or other embodiments described herein. Heat exchanger 986 may be a conventional heat recovery steam generator (HRSG), such as those used in conventional combined cycle power systems. As is known in the art of power generation, HRSG 986 may use hot exhaust from gas turbine 980, combined with a water supply, to create steam which is fed to steam turbine 992. Steam turbine 992 may optionally be coupled to a second generator system 970 (via a second shaft 915). It is understood that generators 970 and shafts 915 may be of any size or type known in the art and may differ depending upon their application or the system to which they are connected. Common numbering of the generators and shafts is for clarity and does not necessarily suggest these generators or shafts are identical. In another embodiment, shown in FIG. 8, a single shaft combined cycle power plant 990 may include a single generator 970 coupled to both gas turbine 980 and steam turbine 992 via a single shaft 915. Steam turbine 992 and/or gas turbine 980 may include one or more nozzles 200 shown and described with reference to FIG. 2 and/or other embodiments described herein.

The apparatus and devices of the present disclosure are not limited to any one particular engine, turbine, jet engine, generator, power generation system or other system, and may be used with other aircraft systems, power generation systems and/or systems (e.g., combined cycle, simple cycle, nuclear reactor, etc.). Additionally, the apparatus of the present invention may be used with other systems not described herein that may benefit from the increased reduced tip leakage and increased efficiency of the apparatus and devices described herein.

In various embodiments, components described as being “coupled” to one another can be joined along one or more interfaces. In some embodiments, these interfaces can include junctions between distinct components, and in other cases, these interfaces can include a solidly and/or integrally formed interconnection. That is, in some cases, components that are “coupled” to one another can be simultaneously formed to define a single continuous member. However, in other embodiments, these coupled components can be formed as separate members and be subsequently joined through known processes (e.g., fastening, ultrasonic welding, bonding).

The terminology used herein is for the purpose of describing particular example embodiments only and is not intended to be limiting. As used herein, the singular forms “a”, “an” and “the” may be intended to include the plural forms as well, unless the context clearly indicates otherwise. The terms “comprises,” “comprising,” “including,” and “having,” are inclusive and therefore specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof. The method steps, processes, and operations described herein are not to be construed as necessarily requiring their performance in the particular order discussed or illustrated, unless specifically identified as an order of performance. It is also to be understood that additional or alternative steps may be employed.

When an element or layer is referred to as being “on”, “engaged to”, “connected to” or “coupled to” another element or layer, it may be directly on, engaged, connected or coupled to the other element or layer, or intervening elements or layers may be present. In contrast, when an element is referred to as being “directly on,” “directly engaged to”, “directly connected to” or “directly coupled to” another element or layer, there may be no intervening elements or layers present. Other words used to describe the relationship between elements should be interpreted in a like fashion (e.g., “between” versus “directly between,” “adjacent” versus “directly adjacent,” etc.). As used herein, the term “and/or” includes any and all combinations of one or more of the associated listed items.

Spatially relative terms, such as “inner,” “outer,” “beneath”, “below”, “lower”, “above”, “upper” and the like, may be used herein for ease of description to describe one element or feature's relationship to another element(s) or feature(s) as illustrated in the figures. Spatially relative terms may be intended to encompass different orientations of the device in use or operation in addition to the orientation depicted in the figures. For example, if the device in the figures is turned over, elements described as “below” or “beneath” other elements or features would then be oriented “above” the other elements or features. Thus, the example term “below” can encompass both an orientation of above and below. The device may be otherwise oriented (rotated 90 degrees or at other orientations) and the spatially relative descriptors used herein interpreted accordingly.

The foregoing description of various aspects of the invention has been presented for purposes of illustration and description. It is not intended to be exhaustive or to limit the invention to the precise form disclosed, and obviously, many modifications and variations are possible. Such modifications and variations that may be apparent to an individual in the art are included within the scope of the invention as defined by the accompanying claims.

This written description uses examples to disclose the invention, including the best mode, and also to enable any person skilled in the art to practice the invention, including making and using any devices or systems and performing any incorporated methods. The patentable scope of the invention is defined by the claims, and may include other examples that occur to those skilled in the art. Such other examples are intended to be within the scope of the claims if they have structural elements that do not differ from the literal language of the claims, or if they include equivalent structural elements with insubstantial differences from the literal languages of the claims. 

We claim:
 1. A turbine nozzle comprising: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, pressure side, trailing edge and the leading edge, the airfoil having a fillet at the trailing edge proximate the at least one endwall.
 2. The turbine nozzle of claim 1, wherein the at least one endwall includes two endwalls, the turbine nozzle further comprising a second fillet at the trailing edge proximate the second endwall connecting a surface of the second endwall to a surface of the airfoil.
 3. The turbine nozzle of claim 1, wherein the turbine nozzle includes a third stage nozzle.
 4. The turbine nozzle of claim 1, wherein the at least one endwall directs flow of a working fluid through a throat region proximate the pressure side of the airfoil.
 5. The turbine nozzle of claim 1, wherein the at least one endwall includes an inner endwall or an outer endwall.
 6. The turbine nozzle of claim 1, wherein the airfoil includes a pinbank for permitting fluid flow therethrough.
 7. The turbine nozzle of claim 1, wherein the fillet has an approximately 15 percent axial chord measured from the at least one endwall.
 8. The turbine nozzle of claim 1, wherein fillet has an approximately 5 percent axial chord measured from the at least one endwall.
 9. The turbine nozzle of claim 1, wherein at least one of the suction side or the pressure side of the airfoil includes a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the coordinate values are non-dimensional values convertible to distances by multiplying the values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.
 10. A static nozzle section comprising: a set of static nozzles, the set of static nozzles including at least one nozzle having: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, pressure side, trailing edge and the leading edge, the airfoil having a fillet at the trailing edge proximate the at least one endwall, wherein at least one of the suction side or the pressure side of the airfoil includes a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the coordinate values are non-dimensional values convertible to distances by multiplying the values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.
 11. The static nozzle section of claim 10, wherein the at least one endwall includes two endwalls, the turbine nozzle further comprising second fillet at the trailing edge proximate the second endwall connecting a surface of the second endwall to a surface of the airfoil.
 12. The static nozzle section of claim 10, wherein the turbine nozzle includes a third stage nozzle.
 13. The static nozzle section of claim 10, wherein the airfoil includes a pinbank for permitting fluid flow therethrough.
 14. The static nozzle section of claim 10, wherein the fillet has an approximately 15 percent axial chord measured from the at least one endwall.
 15. The static nozzle section of claim 10, wherein fillet has an approximately 5 percent axial chord measured from the at least one endwall.
 16. The static nozzle section of claim 10, wherein the at least one endwall directs flow of a working fluid through a throat region proximate the pressure side of the airfoil and a suction side of an adjacent airfoil in the set of static nozzles.
 17. A turbine nozzle comprising: an airfoil having: a suction side; a pressure side opposing the suction side; a leading edge spanning between the pressure side and the suction side; and a trailing edge opposing the leading edge and spanning between the pressure side and the suction side; and at least one endwall connected with the airfoil along the suction side, pressure side, trailing edge and the leading edge, wherein at least one of the pressure side or the suction side of the airfoil includes a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I, wherein the coordinate values are non-dimensional values convertible to distances by multiplying the values by an airfoil height expressed in units of distance, and wherein X and Y values connected by smooth continuing arcs define airfoil profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil profile, wherein the Cartesian coordinate values have an origin at a root of the leading edge of the airfoil.
 18. The turbine nozzle of claim 17, the airfoil having a fillet at the trailing edge proximate the at least one endwall.
 19. The turbine nozzle of claim 18, wherein the fillet has an approximately 15 percent axial chord measured from the at least one endwall.
 20. The turbine nozzle of claim 18, wherein the airfoil includes a pinbank for permitting fluid flow therethrough. 